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Finding the Fourth Proportional to 14,647.20, 20,212.88 and 7,932.78

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Solution

The fourth proportional to 14,647.20, 20,212.88 and 7,932.78 is: 10,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.20 : 20,212.88 = 7,932.78 : x
  2. Step 2: Convert to fraction form
    14,647.20/20,212.88 = 7,932.78/x
  3. Step 3: Cross multiply
    14,647.20x = 20,212.88 × 7,932.78
  4. Step 4: Simplify right side
    14,647.20x = 160,344,290.54
  5. Step 5: Solve for x
    x = 160,344,290.54/14,647.20
  6. Step 6: Final answer
    x = 10,947.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.